Question

SOMEONE PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading.

The spilled milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

Part A: Find the area of the circle of spilled milk as a function of time, or A[r(t)]. Show your work. (6 points)

Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Answer 1

Part A:

Setting up the problem: A[r(t)] = π (4t)^2

= Multiplying: A[r(t)] = 3.14 x 16t^2

= Solving/Answer: A[r(t)] = 50.24t^2

Part B: Area after 4 min of spilling = t=4

= r (4)= 4x4 =16

= Setting up the problem: A(16) = 3.14 x 16^2

= Multiplying: A(16)= 3.14 x 256

= Solving/Answer: A(16) = 803.84

= The spilled area of milk after 4 min is 803.84.

Answer 2

Part A: Find the area of the circle of spilled milk as a function of time, or A[r(t)]
πr^2 = π(4t)^2 =π4^2*t^2= 16πt^2

Part B: A= 16π(4)^2 = 256π= 803.84

here ya go c: